(a)[1]
Find the position vector for $M$.
(b)[4]
Calculate the angle $PAM$.
(c)[5]
Find the exact length of the perpendicular drawn from $P$ to the line through $O$ and $M$.
Mathematics 9709 · AS & A Level · Vectors
Vectors — practice question
The diagram shows cuboid $OABCDEFG$, with $OA = 3$ units, $OC = 2$ units and $OD = 2$ units. The unit vectors $\mathbf{i}$, $\mathbf{j}$ and $\mathbf{k}$ are parallel to $OA$, $OD$ and $OC$ respectively. $M$ is the midpoint of $EF$. The position vector of $P$ is $\mathbf{i} + \mathbf{j} + 2\mathbf{k}$.